@Katelee,
Is this for school?
The nouns and verbs are in "disagreement".
Mike WAS not WERE. As Mike is singular not plural. The same goes for Larry.
Also, in the last part of the sentence the verb is 'passive' (I think - sorry, English was not my major!)
If Mike was to resign and if Larry was elected to take his place, we would have more rigorous leadership.